Rút gọn phân số
\(\dfrac{4}{10}\),\(\dfrac{8}{12}\),\(\dfrac{15}{35}\),\(\dfrac{11}{33}\),\(\dfrac{36}{75}\)
Rút gọn các phân số: \(\dfrac{15}{25};\dfrac{24}{28};\dfrac{18}{33};\dfrac{12}{36}\).
\(\dfrac{15}{25}=\dfrac{15:5}{25:5}=\dfrac{3}{5}\\ \dfrac{24}{28}=\dfrac{24:4}{28:4}=\dfrac{6}{7}\\ \dfrac{18}{33}=\dfrac{18:3}{33:3}=\dfrac{6}{11}\\ \dfrac{12}{36}=\dfrac{12:12}{36:12}=\dfrac{1}{3}.\)
\(\dfrac{15}{25}=\dfrac{3}{5}\)
\(\dfrac{24}{28}=\dfrac{6}{7}\)
\(\dfrac{18}{33}=\dfrac{6}{11}\)
\(\dfrac{12}{36}=\dfrac{1}{3}\)
\(\dfrac{15}{25}=\dfrac{15:5}{25:5}=\dfrac{3}{5}\\ \dfrac{24}{28}=\dfrac{24:4}{28:4}=\dfrac{6}{7}\\ \dfrac{18}{33}=\dfrac{18:3}{33:3}=\dfrac{6}{11}\\ \dfrac{12}{36}=\dfrac{12:12}{36:12}=\dfrac{1}{3}\)
Tính rồi rút gọn (theo mẫu):
Mẫu: \(\dfrac{9}{10}-\dfrac{4}{10}=\dfrac{9-4}{10}=\dfrac{5}{10}=\dfrac{1}{2}\) |
a) \(\dfrac{15}{8}-\dfrac{13}{8}\) b) \(\dfrac{7}{15}-\dfrac{2}{15}\) c) \(\dfrac{11}{12}-\dfrac{2}{12}\) d) \(\dfrac{19}{7}-\dfrac{5}{7}\)
a: \(\dfrac{15}{8}-\dfrac{13}{8}=\dfrac{15-13}{8}=\dfrac{2}{8}=\dfrac{1}{4}\)
b: \(\dfrac{7}{15}-\dfrac{2}{15}=\dfrac{7-2}{15}=\dfrac{5}{15}=\dfrac{1}{3}\)
c: \(\dfrac{11}{12}-\dfrac{2}{12}=\dfrac{11-2}{12}=\dfrac{9}{12}=\dfrac{3}{4}\)
d: \(\dfrac{19}{7}-\dfrac{5}{7}=\dfrac{19-5}{7}=\dfrac{14}{7}=2\)
rút gọn phân số
\(\dfrac{-8}{12}\)
\(\dfrac{15}{-60}\)
\(\dfrac{-16}{-72}\)
\(\dfrac{35}{14.15}\)
\(\dfrac{-8}{12}=\dfrac{-8:4}{12:4}=\dfrac{-2}{3}\\ \dfrac{15}{-60}=\dfrac{15:15}{-60:15}=\dfrac{1}{-4}\\ \dfrac{-16}{-72}=\dfrac{-16:\left(-8\right)}{-72:\left(-8\right)}=\dfrac{2}{9}\\ \dfrac{35}{14.15}=\dfrac{5.7}{7.2.5.3}=\dfrac{1}{2.3}=\dfrac{1}{6}\)
Câu 10: Rút gọn mỗi phân số sau về phân số tối giản: \(\dfrac{8}{-12}\dfrac{400}{700}\dfrac{-10}{6}\dfrac{-35}{-105}\)
\(\dfrac{8}{-12}=\dfrac{-8}{12}=\dfrac{-2}{3}\)
\(\dfrac{400}{700}=\dfrac{4}{7}\)
\(\dfrac{-10}{6}=\dfrac{-5}{3}\)
\(\dfrac{-35}{-105}=\dfrac{35}{105}=\dfrac{1}{3}\)
trong các phân số sau: \(\dfrac{1}{3}\), \(\dfrac{4}{7}\), \(\dfrac{8}{12}\), \(\dfrac{30}{36}\), \(\dfrac{72}{73}\)
a. Phân số nào là tối giản? vì sao?
b. Phân số nào rút gọn được. Hãy rút gọn phân số đó
a: Các phân số tối giản là \(\dfrac{1}{3};\dfrac{4}{7};\dfrac{72}{73}\) vì ƯCLN(1;3)=1; ƯCLN(4;7)=1; ƯCLN(72;73)=1
b:
Các phân số rút gọn được là
\(\dfrac{8}{12}=\dfrac{8:4}{12:4}=\dfrac{2}{3}\)
\(\dfrac{30}{36}=\dfrac{30:6}{36:6}=\dfrac{5}{6}\)
Quy đồng mẫu các phân số
b) \(\dfrac{17}{12}\) ; \(\dfrac{31}{18}\) ; \(\dfrac{8}{15}\)
c) \(\dfrac{7}{15}\) ; \(\dfrac{8}{25}\) ; \(\dfrac{11}{75}\)
d) \(\dfrac{8}{45}\) ; \(\dfrac{13}{180}\) ; \(\dfrac{4}{30}\)
e) \(\dfrac{51}{136}\) ; \(\dfrac{60}{108}\) ; \(\dfrac{26}{156}\)
giải nhanh giúp t vs ccau ơi, nhanh + chi tiết = tick
\(a,MSC:180\\ \dfrac{17}{12}=\dfrac{17.15}{12.15}=\dfrac{255}{180};\dfrac{31}{18}=\dfrac{31.10}{18.10}=\dfrac{310}{180};\dfrac{8}{15}=\dfrac{8.12}{15.12}=\dfrac{96}{180}\\ b,MSC:75\\ \dfrac{7}{15}=\dfrac{7.5}{15.5}=\dfrac{35}{75};\dfrac{8}{25}=\dfrac{8.3}{25.3}=\dfrac{24}{75};\dfrac{11}{75}=\dfrac{11}{75}\)
Rút gọn rồi tính.
a) \(\dfrac{4}{24}+\dfrac{7}{6}\) b) \(\dfrac{10}{15}-\dfrac{1}{3}\) c) \(\dfrac{21}{28}-\dfrac{1}{4}\) d) \(\dfrac{35}{40}+\dfrac{5}{8}\)
a) \(\dfrac{4}{24}+\dfrac{7}{6}=\dfrac{4}{24}+\dfrac{28}{24}=\dfrac{4+28}{24}=\dfrac{32}{24}=\dfrac{4}{3}\)
b) \(\dfrac{10}{15}-\dfrac{1}{3}=\dfrac{10}{15}-\dfrac{5}{15}=\dfrac{10-5}{15}=\dfrac{5}{15}=\dfrac{1}{3}\)
c) \(\dfrac{21}{28}-\dfrac{1}{4}=\dfrac{21}{28}-\dfrac{7}{28}=\dfrac{21-7}{28}=\dfrac{14}{28}=\dfrac{1}{2}\)
d) \(\dfrac{35}{40}+\dfrac{5}{8}=\dfrac{35}{40}+\dfrac{25}{40}=\dfrac{35+25}{40}=\dfrac{60}{40}=\dfrac{3}{2}\)
\(a)\dfrac{4}{24}=\dfrac{1}{6} \\ \dfrac{1}{6}+\dfrac{7}{6}\\ =\dfrac{8}{6}=\dfrac{4}{3}\\ b)\dfrac{10}{15}=\dfrac{2}{3}-\dfrac{1}{3}\\ =\dfrac{1}{3}\\ c)\dfrac{21}{28}=\dfrac{3}{4}\\ \dfrac{3}{4}-\dfrac{1}{4}\\ =\dfrac{2}{4}=\dfrac{1}{2}\\ d)\dfrac{35}{40}=\dfrac{7}{8}\\ \dfrac{7}{8}+\dfrac{5}{8}\\ =\dfrac{12}{8}=\dfrac{3}{2}\)
Rút gọn các phân số:
\(\dfrac{3}{6}\); \(\dfrac{18}{24}\); \(\dfrac{5}{35}\); \(\dfrac{40}{90}\); \(\dfrac{75}{30}\).
\(\dfrac{3}{6}=\dfrac{3:3}{6:3}=\dfrac{1}{2}\\ \dfrac{18}{24}=\dfrac{18:6}{24:6}=\dfrac{3}{4}\\ \dfrac{5}{35}=\dfrac{5:5}{35:5}=\dfrac{1}{7}\\ \dfrac{40}{90}=\dfrac{40:10}{90:10}=\dfrac{4}{9}\\ \dfrac{75}{30}=\dfrac{75:15}{30:15}=\dfrac{5}{2}\)
\(\dfrac{3}{6}=\dfrac{3:3}{6:3}=\dfrac{1}{2}\\ \dfrac{18}{24}=\dfrac{18:6}{24:6}=\dfrac{3}{4}\\ \dfrac{5}{35}=\dfrac{5:5}{35:5}=\dfrac{1}{7}\\ \dfrac{40}{90}=\dfrac{40:10}{90:10}=\dfrac{4}{9}\\ \dfrac{75}{30}=\dfrac{75:15}{30:15}=\dfrac{5}{2}\)
\(\dfrac{3}{6}=\dfrac{3:3}{6:3}=\dfrac{1}{2}\)
\(\dfrac{18}{24}=\dfrac{18:6}{24:6}=\dfrac{3}{4}\)
\(\dfrac{5}{35}=\dfrac{5:5}{35:5}=\dfrac{1}{7}\)
\(\dfrac{40}{90}=\dfrac{40:10}{90:10}=\dfrac{4}{9}\)
\(\dfrac{75}{30}=\dfrac{75:15}{30:15}=\dfrac{5}{2}\)
Rút gọn các phân số sau :
\(\dfrac{-12}{-4}\) ; \(\dfrac{7}{-35}\) ; \(\dfrac{-9}{27}\)
\(\dfrac{-12}{-4}=\dfrac{-3}{-1}\)
\(\dfrac{7}{-35}=\dfrac{1}{-5}\)
\(\dfrac{-9}{27}=\dfrac{-1}{3}\)